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Statistics of natural images and models

Posted on:2001-11-05Degree:Ph.DType:Dissertation
University:Brown UniversityCandidate:Huang, JinggangFull Text:PDF
GTID:1468390014960100Subject:Mathematics
Abstract/Summary:
We calculate several important statistics from two intensity image databases and a range image database. Mathematical models are fitted to these statistics, and some interesting features observed are explained. We examine the scale invariant property of images carefully, and find different scaling behaviors in different types of images. We also explain the well known 'generalized Laplace' distribution of mean-0 filter reactions under several simple assumptions, and propose an Ising-like model which duplicates some local statistics we observed in images. Finally, we show some applications using the statistics we calculate.
Keywords/Search Tags:Statistics, Images
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